Step
*
of Lemma
fps-not-null
∀[p:FinProbSpace]. (null(p) ~ ff)
BY
{ xxx((D 0 THENA Auto)
THEN RepeatFor 2 (D 1)
THEN Reduce 0
THEN Auto
THEN RepUR ``qsum rng_sum mon_itop`` 1
THEN RecUnfold `itop` 1
THEN Reduce 1
THEN RWO "assert-qeq<" 1
THEN Auto
THEN RepUR ``qeq`` 1
THEN Auto)xxx }
Latex:
Latex:
\mforall{}[p:FinProbSpace]. (null(p) \msim{} ff)
By
Latex:
xxx((D 0 THENA Auto)
THEN RepeatFor 2 (D 1)
THEN Reduce 0
THEN Auto
THEN RepUR ``qsum rng\_sum mon\_itop`` 1
THEN RecUnfold `itop` 1
THEN Reduce 1
THEN RWO "assert-qeq<" 1
THEN Auto
THEN RepUR ``qeq`` 1
THEN Auto)xxx
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